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Because if all the factors are prime, the factorization can't be broken down further.
Consider some factor strings for 210:
2 x 105
2 x 3 x 35
2 x 3 x 5 x 7
The last (and longest) is the prime factorization.
Wiki User
∙ 11y ago
Wiki User
∙ 9y agoAdd your answer:
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What is the longest string of prime factors for 30 and why?
The longest string of prime factors for 30 is 2 x 3 x 5 because there isn't a prime factor string that's longer.
How do you know when you have found the longest factor string for a number?
All of the factors are prime.
What is the mathematical definition for a length of a factor string?
The number of numbers in the string; how long it is.
How do you know when you have found the longest possible sting factors of a number?
All of the factors are prime.
What expression shows the product of all of numbers prime factors?
The longest factor string is the prime factorization
What is the longest string of prime factors?
The prime factorization.
The longest string of factors for a number?
The prime factorization.
Which is the longest string of prime factors for 30?
2x3x5
How do you know you have the biggest factor string?
When all of the factors are prime. The longest factor string is the prime factorization.
Why is 1x2x1x3x1x5 not the longest string of prime factors?
Because 1 isn't prime.
How do you know when you have found the longest string of factors for a number?
When all the factors are prime.
What is the longest string of prime factors for 30 and why?
The longest string of prime factors for 30 is 2 x 3 x 5 because there isn't a prime factor string that's longer.
What is the longest factor string for 600?
Find the prime factors first.
What are the longest factor string for 840 and explain why?
The longest factor string for 840 is its prime factorization because prime factors can't be broken down any further.
How many longest strings of factors are there for a given number?
For composite numbers, only one string of factors is the longest; the prime factorization.
How do you know when you have found the longest factor string for a number?
All of the factors are prime.
What is the longest string of prime factors for 30?
the longest string of prime factor for 30 is 2 x 3 x 5
